BIOGRAPHY OF BRAHMAGUPTA PDF

Brahmagupta, whose father was Jisnugupta, wrote important works on mathematics and astronomy. In particular he wrote Brahmasphutasiddhanta Ⓣ, in Brahmagupta was an Indian mathematician, born in AD in Bhinmal, a state of Rajhastan, India. He spent most of his life in Bhinmal which was under the rule. Brahmagupta, (born —died c. , possibly Bhillamala [modern Bhinmal], Rajasthan, India), one of the most accomplished of the ancient Indian astronomers.

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Brahmagupta

Addition was indicated by placing the numbers side by side, subtraction by placing biohraphy dot over the subtrahend, and division by placing the divisor below the dividend, similar to our notation but without the bar.

In other projects Wikimedia Commons Wikisource. The division was primarily about the application of mathematics to the physical world, rather than about the mathematics itself. From Wikipedia, the free encyclopedia.

After giving the value of pi, he deals with the geometry of plane figures and solids, such as finding volumes and surface areas or empty spaces dug out of solids.

When a positive is to be subtracted from a negative or a negative from a positive, then it is to be added. The perpendicular [altitude] is the square-root from the square of a side diminished by the square of its segment. The procedures for finding the cube and cube-root of an integer, however, are described compared the latter to Aryabhata’s very similar formulation. Given the lengths of the sides of any cyclic quadrilateral, Brahmagupta gave an approximate and an exact formula for the figure’s area.

You can make it easier for us to review and, hopefully, publish your contribution by keeping a few points in mind. It is interesting to note also that the algebra of Brahmagupta, like that of Diophantus, was syncopated.

There was a problem with your submission. The historian of science George Sarton called him “one of the greatest scientists of his race and the greatest of his time. In his Brahma treatise, Brahmagupta criticized contemporary Indian astronomer on their different opinion.

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Brahmagupta was a highly accomplished ancient Indian astronomer and mathematician. The details regarding his family life are obscure. Brahmafupta particular, he recommended using “the pulverizer” to solve equations with multiple unknowns. It biovraphy also a centre of learning for mathematics and astronomy. The mathematician Al-Khwarizmi — CE wrote a text called al-Jam wal-tafriq bi hisal-al-Hind Biographj and Subtraction in Indian Arithmeticwhich was translated into Latin in the 13th century as Algorithmi de numero indorum.

He was much ahead of his contemporaries and his mathematical and astronomical calculations remained among the most accurate available for several centuries.

Although Brahmagupta does not explicitly state that these quadrilaterals are cyclic, it is apparent from his rules that this is the case.

Indian astronomic material circulated widely for biofraphy, even passing into medieval Latin texts. The bioggraphy formula apparently deals with the volume of a frustum of a square pyramid, where the “pragmatic” volume is the depth times the square of the mean of the edges of the top and bottom faces, while the “superficial” volume is the depth times their mean area.

The difference between rupaswhen inverted and divided by the difference of the unknowns, is the unknown in the equation. Some of the important contributions made by Brahmagupta in astronomy are his methods for calculating the position of heavenly bodies over time ephemeridestheir rising and setting, conjunctionsand the calculation of solar and lunar eclipses.

Brahmagupta | Indian astronomer |

He continues to give formulas for the lengths and areas of geometric figures, such as the circumradius of an isosceles trapezoid and a scalene quadrilateral, and the lengths of diagonals in a scalene cyclic quadrilateral. He was of the view that the Moon is closer to the Earth than the Sun based on its power of waxing and waning. Discover some of the most interesting and trending topics of Motilal Banarsi Das, brah,agupta When it is divided by the multiplier increased by two it is the leap of one of the two who make the same journey.

His remaining eighteen sines are,,,, The sum of the thunderbolt products is the first. A positive divided by a positive or a negative divided by a negative is positive; a zero divided by a zero is zero; a positive divided by a negative is negative; a negative divided by a positive is [also] negative. The reader is expected to know the basic arithmetic operations as far as taking the square root, although he explains how to find the cube and cube-root of an integer and later gives rules facilitating the computation of squares and square roots.

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Brahmagupta’s most famous result in geometry is his formula for cyclic quadrilaterals. He called multiplication gomutrika in his Brahmasphutasiddhanta. Little is known of these authors. He then gives rules for dealing with five types of combinations of fractions: He gave formulas for the lengths and areas of other geometric figures as well, and the Brahmagupta’s theorem named after him states that if a cyclic quadrilateral has perpendicular diagonals, then the perpendicular diagonal to a side from the point of intersection of the diagonals always bipgraphy the opposite side.

Geometry and Nrahmagupta in Ancient Civilizations. The additive is equal to the product of the additives. Four such yuga s called Krita, Treta, Dvapara, and Kali, after the throws of an Indian game of dice make up the…. The solution of the general Pell’s equation would have to wait for Bhaskara II in c. At the bottom of the article, feel free to list any sources that support your changes, so that we can fully understand their ot.

Brahmagupta biography

Brahmagupta was an orthodox Hindu, and his religious views, particularly the Hindu yuga system of measuring the ages of mankind, influenced his work.

The Euclidean algorithm was known to him as the “pulverizer” since it breaks numbers down into ever smaller pieces.

His straightforward rules for the volumes of a rectangular prism and pyramid are followed by a more ambiguous one, which may refer to finding the average depth of a sequence of puts with different depths.

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